A specialized linear transform that performs a unitary maping i.e. rotation and or reflection. More...

#include <openvdb/math/Maps.h>

Public Types
using	Ptr = SharedPtr< UnitaryMap >

using	ConstPtr = SharedPtr< const UnitaryMap >

using	MapFactory) = Ptr(*)(

Public Member Functions
	UnitaryMap ()
	default constructor makes an Idenity. More...

	UnitaryMap (const Vec3d &axis, double radians)

	UnitaryMap (Axis axis, double radians)

	UnitaryMap (const Mat3d &m)

	UnitaryMap (const Mat4d &m)

	UnitaryMap (const UnitaryMap &other)

	UnitaryMap (const UnitaryMap &first, const UnitaryMap &second)

	~UnitaryMap () override=default

MapBase::Ptr	copy () const override
	Returns a MapBase::Ptr to a deep copy of *this. More...

MapBase::Ptr	inverseMap () const override
	Return a new map representing the inverse of this map. More...

Name	type () const override
	Return `UnitaryMap`. More...

bool	isLinear () const override
	Return `true` (a UnitaryMap is always linear). More...

bool	hasUniformScale () const override
	Return `false` (by convention true) More...

bool	isEqual (const MapBase &other) const override
	Return `true` if this map is equal to the given map. More...

bool	operator== (const UnitaryMap &other) const

bool	operator!= (const UnitaryMap &other) const

Vec3d	applyMap (const Vec3d &in) const override
	Return the image of `in` under the map. More...

Vec3d	applyInverseMap (const Vec3d &in) const override
	Return the pre-image of `in` under the map. More...

Vec3d	applyJacobian (const Vec3d &in, const Vec3d &) const override
	Apply the Jacobian of this map to a vector. For a linear map this is equivalent to applying the map excluding translation. More...

Vec3d	applyJacobian (const Vec3d &in) const override
	Return the Jacobian of the map applied to in. More...

Vec3d	applyInverseJacobian (const Vec3d &in, const Vec3d &) const override
	Return the Inverse Jacobian of the map applied to in (i.e. inverse map with out translation) More...

Vec3d	applyInverseJacobian (const Vec3d &in) const override
	Return the Inverse Jacobian of the map applied to in (i.e. inverse map with out translation) More...

Vec3d	applyJT (const Vec3d &in, const Vec3d &) const override
	Return the Jacobian Transpose of the map applied to in. More...

Vec3d	applyJT (const Vec3d &in) const override
	Return the Jacobian Transpose of the map applied to in. More...

Vec3d	applyIJT (const Vec3d &in, const Vec3d &) const override
	Return the transpose of the inverse Jacobian of the map applied to in. More...

Vec3d	applyIJT (const Vec3d &in) const override
	Return the transpose of the inverse Jacobian of the map applied to `in`. More...

Mat3d	applyIJC (const Mat3d &in) const override
	Return the Jacobian Curvature: zero for a linear map. More...

Mat3d	applyIJC (const Mat3d &in, const Vec3d &, const Vec3d &) const override

double	determinant (const Vec3d &) const override
	Return the determinant of the Jacobian, ignores argument. More...

double	determinant () const override
	Return the determinant of the Jacobian. More...

void	read (std::istream &is) override
	read serialization More...

void	write (std::ostream &os) const override
	write serialization More...

std::string	str () const override
	string serialization, useful for debuging More...

AffineMap::Ptr	getAffineMap () const override
	Return AffineMap::Ptr to an AffineMap equivalent to *this. More...

MapBase::Ptr	preRotate (double radians, Axis axis) const override
	Return a MapBase::Ptr to a new map that is the result of prepending the given rotation. More...

MapBase::Ptr	preTranslate (const Vec3d &t) const override
	Return a MapBase::Ptr to a new map that is the result of prepending the given translation. More...

MapBase::Ptr	preScale (const Vec3d &v) const override
	Return a MapBase::Ptr to a new map that is the result of prepending the given scale. More...

MapBase::Ptr	preShear (double shear, Axis axis0, Axis axis1) const override
	Return a MapBase::Ptr to a new map that is the result of prepending the given shear. More...

MapBase::Ptr	postRotate (double radians, Axis axis) const override
	Return a MapBase::Ptr to a new map that is the result of appending the given rotation. More...

MapBase::Ptr	postTranslate (const Vec3d &t) const override
	Return a MapBase::Ptr to a new map that is the result of appending the given translation. More...

MapBase::Ptr	postScale (const Vec3d &v) const override
	Return a MapBase::Ptr to a new map that is the result of appending the given scale. More...

MapBase::Ptr	postShear (double shear, Axis axis0, Axis axis1) const override
	Return a MapBase::Ptr to a new map that is the result of appending the given shear. More...

template<typename MapT >
bool	isType () const
	Return `true` if this map is of concrete type `MapT` (e.g., AffineMap). More...


Vec3d	voxelSize () const override
	Returns the lengths of the images of the segments (0,0,0) − (1,0,0), (0,0,0) − (0,1,0) and (0,0,0) − (0,0,1). More...

Vec3d	voxelSize (const Vec3d &) const override
	Returns the lengths of the images of the segments (0,0,0) − (1,0,0), (0,0,0) − (0,1,0) and (0,0,0) − (0,0,1). More...

Static Public Member Functions
static MapBase::Ptr	create ()
	Return a MapBase::Ptr to a new UnitaryMap. More...

static bool	isRegistered ()

static void	registerMap ()

static Name	mapType ()
	Return `UnitaryMap`. More...

Static Protected Member Functions
template<typename MapT >
static bool	isEqualBase (const MapT &self, const MapBase &other)

Detailed Description

A specialized linear transform that performs a unitary maping i.e. rotation and or reflection.

Member Typedef Documentation

using ConstPtr = SharedPtr<const UnitaryMap>

using MapFactory = Ptr (*)(

inherited

using Ptr = SharedPtr<UnitaryMap>

Constructor & Destructor Documentation

UnitaryMap ( )

inline

default constructor makes an Idenity.

UnitaryMap	(	const Vec3d &	axis,
		double	radians
	)

inline

UnitaryMap	(	Axis	axis,
		double	radians
	)

inline

UnitaryMap ( const Mat3d & m )

inline

UnitaryMap ( const Mat4d & m )

inline

UnitaryMap ( const UnitaryMap & other )

inline

UnitaryMap	(	const UnitaryMap &	first,
		const UnitaryMap &	second
	)

inline

~UnitaryMap ( )

overridedefault

Member Function Documentation

Mat3d applyIJC ( const Mat3d & in ) const

inlineoverridevirtual

Return the Jacobian Curvature: zero for a linear map.

Implements MapBase.

Mat3d applyIJC	(	const Mat3d &	in,
		const Vec3d &	,
		const Vec3d &
	)		const

inlineoverridevirtual

Implements MapBase.

Vec3d applyIJT	(	const Vec3d &	in,
		const Vec3d &
	)		const

inlineoverridevirtual

Return the transpose of the inverse Jacobian of the map applied to in.

Ignores second argument

Implements MapBase.

Vec3d applyIJT ( const Vec3d & in ) const

inlineoverridevirtual

Return the transpose of the inverse Jacobian of the map applied to in.

Implements MapBase.

Vec3d applyInverseJacobian	(	const Vec3d &	in,
		const Vec3d &
	)		const

inlineoverridevirtual

Return the Inverse Jacobian of the map applied to in (i.e. inverse map with out translation)

Implements MapBase.

Vec3d applyInverseJacobian ( const Vec3d & in ) const

inlineoverridevirtual

Return the Inverse Jacobian of the map applied to in (i.e. inverse map with out translation)

Implements MapBase.

Vec3d applyInverseMap ( const Vec3d & in ) const

inlineoverridevirtual

Return the pre-image of in under the map.

Implements MapBase.

Vec3d applyJacobian	(	const Vec3d &	in,
		const Vec3d &	domainPos
	)		const

inlineoverridevirtual

Apply the Jacobian of this map to a vector. For a linear map this is equivalent to applying the map excluding translation.

Warning: Houdini 12.5 uses an earlier version of OpenVDB, and maps created with that version lack a virtual table entry for this method. Do not call this method from Houdini 12.5.

Implements MapBase.

Vec3d applyJacobian ( const Vec3d & in ) const

inlineoverridevirtual

Return the Jacobian of the map applied to in.

Implements MapBase.

Vec3d applyJT	(	const Vec3d &	in,
		const Vec3d &
	)		const

inlineoverridevirtual

Return the Jacobian Transpose of the map applied to in.

This tranforms range-space gradients to domain-space gradients

Implements MapBase.

Vec3d applyJT ( const Vec3d & in ) const

inlineoverridevirtual

Return the Jacobian Transpose of the map applied to in.

Implements MapBase.

Vec3d applyMap ( const Vec3d & in ) const

inlineoverridevirtual

Return the image of in under the map.

Implements MapBase.

MapBase::Ptr copy ( ) const

inlineoverridevirtual

Returns a MapBase::Ptr to a deep copy of *this.

Implements MapBase.

static MapBase::Ptr create ( )

inlinestatic

Return a MapBase::Ptr to a new UnitaryMap.

double determinant ( const Vec3d & ) const

inlineoverridevirtual

Return the determinant of the Jacobian, ignores argument.

Implements MapBase.

double determinant ( ) const

inlineoverridevirtual

Return the determinant of the Jacobian.

Implements MapBase.

AffineMap::Ptr getAffineMap ( ) const

inlineoverridevirtual

Return AffineMap::Ptr to an AffineMap equivalent to *this.

Implements MapBase.

bool hasUniformScale ( ) const

inlineoverridevirtual

Return false (by convention true)

Implements MapBase.

MapBase::Ptr inverseMap ( ) const

inlineoverridevirtual

Return a new map representing the inverse of this map.

Exceptions

NotImplementedError if the map is a NonlinearFrustumMap.

Warning: Houdini 12.5 uses an earlier version of OpenVDB, and maps created with that version lack a virtual table entry for this method. Do not call this method from Houdini 12.5.

Implements MapBase.

bool isEqual ( const MapBase & other ) const

inlineoverridevirtual

Return true if this map is equal to the given map.

Implements MapBase.

static bool isEqualBase	(	const MapT &	self,
		const MapBase &	other
	)

inlinestaticprotectedinherited

bool isLinear ( ) const

inlineoverridevirtual

Return true (a UnitaryMap is always linear).

Implements MapBase.

static bool isRegistered ( )

inlinestatic

bool isType ( ) const

inlineinherited

Return true if this map is of concrete type MapT (e.g., AffineMap).

static Name mapType ( )

inlinestatic

Return UnitaryMap.

bool operator!= ( const UnitaryMap & other ) const

inline

bool operator== ( const UnitaryMap & other ) const

inline

MapBase::Ptr postRotate	(	double	radians,
		Axis	axis
	)		const

inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of appending the given rotation.

Implements MapBase.

MapBase::Ptr postScale ( const Vec3d & v ) const

inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of appending the given scale.

Implements MapBase.

MapBase::Ptr postShear	(	double	shear,
		Axis	axis0,
		Axis	axis1
	)		const

inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of appending the given shear.

Implements MapBase.

MapBase::Ptr postTranslate ( const Vec3d & t ) const

inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of appending the given translation.

Implements MapBase.

MapBase::Ptr preRotate	(	double	radians,
		Axis	axis
	)		const

inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of prepending the given rotation.

Implements MapBase.

MapBase::Ptr preScale ( const Vec3d & v ) const

inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of prepending the given scale.

Implements MapBase.

MapBase::Ptr preShear	(	double	shear,
		Axis	axis0,
		Axis	axis1
	)		const

inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of prepending the given shear.

Implements MapBase.

MapBase::Ptr preTranslate ( const Vec3d & t ) const

inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of prepending the given translation.

Implements MapBase.

void read ( std::istream & is )

inlineoverridevirtual

read serialization

Implements MapBase.

static void registerMap ( )

inlinestatic

std::string str ( ) const

inlineoverridevirtual

string serialization, useful for debuging

Implements MapBase.

Name type ( ) const

inlineoverridevirtual

Return UnitaryMap.

Implements MapBase.

Vec3d voxelSize ( ) const

inlineoverridevirtual

Returns the lengths of the images of the segments (0,0,0) − (1,0,0), (0,0,0) − (0,1,0) and (0,0,0) − (0,0,1).

Implements MapBase.

Vec3d voxelSize ( const Vec3d & ) const

inlineoverridevirtual

Returns the lengths of the images of the segments (0,0,0) − (1,0,0), (0,0,0) − (0,1,0) and (0,0,0) − (0,0,1).

Implements MapBase.

void write ( std::ostream & os ) const

inlineoverridevirtual

write serialization

Implements MapBase.

Public Types

Public Member Functions

Static Public Member Functions

Static Protected Member Functions

Detailed Description

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation